4233824 has 48 divisors (see below), whose sum is σ = 9779616. Its totient is φ = 1766400.

The previous prime is 4233811. The next prime is 4233839. The reversal of 4233824 is 4283324.

It is a d-powerful number, because it can be written as 4² + 2 + 3⁹ + 3⁹ + 8 + 2⁷ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 4233793 and 4233802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8954 + ... + 9414.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

Almost surely, 2^4233824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889808).

4233824 is an abundant number, since it is smaller than the sum of its proper divisors (5545792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4233824 is a wasteful number, since it uses less digits than its factorization.

4233824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 4233824 is about 2057.6258163233. The cubic root of 4233824 is about 161.7748230574.

The spelling of 4233824 in words is "four million, two hundred thirty-three thousand, eight hundred twenty-four".